Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities

DOI10.1007/s12220-024-01747-xMaRDI QIDQ6611173

Zai-Yun Zhang, Dan-dan Wang, Jiannan Chen, Chengzhao Xu, Zihan Xie

Publication date: 26 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

well-posednessblow-upMorawetz estimatesfourth-order Schrödinger equation with combined power-type nonlinearities

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fixed-point theorems (47H10) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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